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Finding the Fourth Proportional to 1,451.98, 2,003.74 and 788.83

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Solution

The fourth proportional to 1,451.98, 2,003.74 and 788.83 is: 1,088.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.98 : 2,003.74 = 788.83 : x
  2. Step 2: Convert to fraction form
    1,451.98/2,003.74 = 788.83/x
  3. Step 3: Cross multiply
    1,451.98x = 2,003.74 × 788.83
  4. Step 4: Simplify right side
    1,451.98x = 1,580,610.22
  5. Step 5: Solve for x
    x = 1,580,610.22/1,451.98
  6. Step 6: Final answer
    x = 1,088.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.